415368 has 40 divisors (see below), whose sum is σ = 1165230. Its totient is φ = 138240.

The previous prime is 415343. The next prime is 415379. The reversal of 415368 is 863514.

It can be written as a sum of positive squares in only one way, i.e., 272484 + 142884 = 522^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

415368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 328 + ... + 968.

2⁴¹⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582615).

415368 is an abundant number, since it is smaller than the sum of its proper divisors (749862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415368 is a wasteful number, since it uses less digits than its factorization.

415368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 415368 is about 644.4904964389. The cubic root of 415368 is about 74.6124003374.

The spelling of 415368 in words is "four hundred fifteen thousand, three hundred sixty-eight".